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Finding the Fourth Proportional to 667.53, 1,000.98 and 256.86

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Solution

The fourth proportional to 667.53, 1,000.98 and 256.86 is: 385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.53 : 1,000.98 = 256.86 : x
  2. Step 2: Convert to fraction form
    667.53/1,000.98 = 256.86/x
  3. Step 3: Cross multiply
    667.53x = 1,000.98 × 256.86
  4. Step 4: Simplify right side
    667.53x = 257,111.72
  5. Step 5: Solve for x
    x = 257,111.72/667.53
  6. Step 6: Final answer
    x = 385.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.